1.

The instantaneous velocity of a partical at any instant is equal to timederivative of its positionvector and the instancous vector.Which of the followingoptions are wrong ?

Answer»

The instantancousvelocitydepends on theinstantaneouspositionvector.
Instantaneous acceleration is independent of instantaneouspositionvectorand instantaneousvelocity.
Instananeousacceleration is independent of instantaneous POSITION vector but depends on the instantanousvelocity.
Instantaneousaccelerationdepends bothon the instantaneous postion vectorand instantaneous VELOCITY.

Solution :Because ` vec(V) =(d vecs)/(DT)and vec(a) = (d VECC)/( dt)`
hence,velocityis independentof instaneousvalue of the displacementand acceleration does not depend uponthe instantaneousvalue of velocity. Hence,a,c,d, are incorrect


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